Question

Two supplementary angles have measures of 9x degrees and 3x degrees. What is the measure of the longer angle

Answer 1

Supplementary angles total 180 degrees. You can set it up as an equation.

9x + 3x = 180
12x = 180
x = 15

Next, plug the value of x into each measure:

9(15) = 135 degrees
3(15) = 45 degrees
135 + 45 = 180 degrees